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Finding the Fourth Proportional to 37,051.34, 51,142.36 and 21,146.40

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Solution

The fourth proportional to 37,051.34, 51,142.36 and 21,146.40 is: 29,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,051.34 : 51,142.36 = 21,146.40 : x
  2. Step 2: Convert to fraction form
    37,051.34/51,142.36 = 21,146.40/x
  3. Step 3: Cross multiply
    37,051.34x = 51,142.36 × 21,146.40
  4. Step 4: Simplify right side
    37,051.34x = 1,081,476,801.50
  5. Step 5: Solve for x
    x = 1,081,476,801.50/37,051.34
  6. Step 6: Final answer
    x = 29,188.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.